Talk:Twenty-four

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I would like to edit this page to add some additional interesting information about the number $24$.

$24$ is, in fact, the difference of squares in two ways: $24 = 7^2 - 5^2 = 5^2 - 1^2$. In fact, it is the common difference of the smallest nontrivial arithmetic progression among the perfect squares: $1 \rightarrow 25 \rightarrow 49$. $24$ is not the sum of any two squares, however.

Also, the fact that $24 = 4!$ is noteworthy, since for example $4!$ is the order of $S_4$, the group of permutations of four objects or of orientation-preserving symmetries of a cube or an octahedron.